非对称相互作用势对孤波散射过程中相移的影响

张楠,金涛

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陕西师范大学学报(自然科学版) ›› 2016, Vol. 44 ›› Issue (1) : 34-38.
物理学

非对称相互作用势对孤波散射过程中相移的影响

  • 张楠,金涛*
作者信息 +

The effect of asymmetric inter-particle interactions onspatial shift of solitary wave scattering

  • ZHANG Nan, JIN Tao*
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摘要

研究了一维广义FPU-αβ晶格模型中微观粒子之间相互作用势的非对称性对孤波散射过程产生相移的影响,该系统存在两种拓扑孤波,Kink和Antikink。数值计算结果表明:随着非对称性强度增加,同种孤波散射所产生的相移减小,而异种孤波散射所产生的相移增大。为解释上述计算结果,在特殊孤波碰撞位形下将广义FPU-αβ晶格模型近似成具有非线性相互作用的两粒子系统,通过求解两粒子系统的动力学方程发现:在总能量确定的情况下,两粒子最大相对位移的绝对值随非对称性增加而减小;最大相对位移在扣除微观粒子两平衡位置间距后所得到的结果与数值计算得到孤波相移结果一致。

Abstract

The effect of asymmetry of interparticle interaction potential on the spatial shift of solitary wave scattering in one-dimensional generalized FPU-αβ lattice model are investigated.The system has two types of solitary wave, Kink and Antikink. The numerical result shows that with the increase of asymmetry the spatial shift decreases for the scattering between same types of solitary wave,while increases for the scattering between different types. To explain the above result, FPU-αβ lattice model as two particle system with nonlinear interaction under special collision configuration is approximately generalized. By solving the dynamical equation of two particle system, it can be found that the absolute value of maximum relative displacement between particles decreases with the increase of asymmetry when the total energy is determined. Furthermore, when removing the spacing between two equilibrium position of the micro particle, the maximum relative displacement is consistent with numerical result of spatial shift qualitatively.

关键词

孤波散射 / 相移 / FPU-αβ晶格模型 / 非对称势

Key words

solitary wave scattering / spatial shift / FPU-αβ lattice model / asymmetric potential

引用本文

导出引用
张楠,金涛. 非对称相互作用势对孤波散射过程中相移的影响. 陕西师范大学学报(自然科学版). 2016, 44(1): 34-38
ZHANG Nan, JIN Tao. The effect of asymmetric inter-particle interactions onspatial shift of solitary wave scattering. Journal of Shaanxi Normal University(Natural Science Edition). 2016, 44(1): 34-38

参考文献

基金

国家自然科学基金(11147020); 中央高校基本科研业务费专项资金(GK201102028)
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